1678870271232 has 360 divisors, whose sum is σ = 6241361620032. Its totient is φ = 436069785600.

The previous prime is 1678870271231. The next prime is 1678870271321. The reversal of 1678870271232 is 2321720788761.

1678870271232 is a `hidden beast` number, since 1 + 6 + 78 + 8 + 70 + 271 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678870271231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070932 + ... + 2122412.

Almost surely, 2^{1678870271232} is an apocalyptic number.

1678870271232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678870271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120680810016).

1678870271232 is an abundant number, since it is smaller than the sum of its proper divisors (4562491348800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1678870271232 is a wasteful number, since it uses less digits than its factorization.

1678870271232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051527 (or 1051504 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1678870271232 in words is "one trillion, six hundred seventy-eight billion, eight hundred seventy million, two hundred seventy-one thousand, two hundred thirty-two".